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Search: id:A086404
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| A086404 |
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Square array of numbers T(n,k)=((1+sqrt(3))(k+sqrt(3))^n-(1-sqrt(3))*(k-sqrt(3))^n)/(2sqrt(3)), read by antidiagonals. |
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+0
4
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| 1, 1, 1, 1, 2, 3, 1, 3, 6, 3, 1, 4, 11, 16, 9, 1, 5, 18, 41, 44, 9, 1, 6, 27, 84, 153, 120, 27, 1, 7, 38, 151, 396, 571, 328, 27, 1, 8, 51, 248, 857, 1872, 2131, 896, 81, 1, 9, 66, 381, 1644, 4893, 8856, 7953, 2448, 81, 1, 10, 83, 556, 2889, 10984, 28003, 41904, 29681
(list; table; graph; listen)
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OFFSET
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0,5
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EXAMPLE
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Rows begin
1 1 3 3 9 ...
1 2 6 16 44 ...
1 3 11 41 153 ...
1 4 18 84 396 ...
1 5 27 151 857 ...
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CROSSREFS
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Rows include A002605, A079935, A086405. Main diagonal is A086406. Rows are successive binomial transforms of (1, 1, 3, 3, 9, 9, ...).
Cf. A086350.
Sequence in context: A067337 A047973 A020501 this_sequence A118981 A117938 A101912
Adjacent sequences: A086401 A086402 A086403 this_sequence A086405 A086406 A086407
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jul 19 2003
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